RESEARCH INTERESTS

Geometric Analysis, Differential Geometry, Partial Differential Equations

EDUCATIONAL BACKGROUND

• Bachelor of Science (Mathematics and Applied Mathematics), School of Mathematical Sciences, Sichuan University, China (2007)

• PhD (Mathematics), Department of Mathematics, University of Freiburg, Germany (2012)

WORKING EXPERIENCE

• Postdoctoral Research Fellow, Max Planck Institute for Mathematics in the Sciences, Germany (2012-2014)

• Research Fellow, Department of Mathematics, McGill University, Canada (2015)

• Associate Professor/Professor, School of Mathematical Sciences, Xiamen University, China (2014-present).

RESEARCH EXPERIENCE / GRANTS

• The National Natural Science Foundation of China (Grant No. 11501480, 11871406): 2016.01-2018.12, 2019.01-2022.12.

• The Natural Science Foundation of Fujian Province of China (Grant No. 2017J06003): 2017.04-2020.03.

• The Scientific Research Foundation for the Returned Overseas Chinese Scholars: 2015.05-2018.04.

• Fundamental Research Funds for the Central Universities (Grant No. 20720150012, 20720180009):   2015.01-2017.12, 2018.01-2020.12. 

REPRESENTATIVE PUBLICATIONS

• Jinyu Guo and Chao Xia, Stability for a second type partitioning problem, J. Geom. Anal. 31 (2021), Issue 3, 2890 - 2923.

• Guofang Wang and Chao Xia, Uniqueness of stable capillary hypersurfaces in a ball, Math. Ann. 374 (2019) Issue 3-4, 1845-1882.

• Junfang Li and Chao Xia, An integral formula  and its applications on sub-static manifolds, J. Differential Geom. 113 (2019), no.3, 493-518.

• Julian Scheuer and Chao Xia, Locally constraint inverse curvature flows, Trans. Amer. Math. Soc. 372 (2019), no. 10, 6771-6803.

• Guohuan Qiu and Chao Xia, Classical Neumann problems and Alexandrov-Fenchel inequalities, Intern. Math. Res. Not. IMRN 2019 (2019) Issue 20, 6285-6303.

• Pengfei Guan and Chao Xia,  L^p Christoffel-Minkowski problem: the case 1< p < k+1, Calc. Var. PDE.  57 (2018), no. 3, 57:69.

• Chao Xia, Inverse anisotropic mean curvature flow and a Minkowski type inequality, Adv. Math. 315 (2017), 102-129.

• Chao Xia, Inverse anisotropic curvature flow from convex hypersurfaces, J. Geom. Anal.  27 (2017), no.3, 2131-2154.

• Chao Xia,  A Minkowski type inequality in space forms,  Calc. Var. PDE.  55 (2016), no. 4, 55:96.

• Guohuan Qiu and Chao Xia, A generalization of Reilly's formula and its applications to a new Heintze-Karcher type inequality, Intern. Math. Res. Not. IMRN 2015 (2015) Issue 17, 7608-7619.

• Guofang Wang and Chao Xia, Isoperimetric type problems and Alexandrov-Fenchel type inequalities in the hyperbolic space, Adv. Math. 259 (2014), 532-556.

• Local gradient estimate for harmonic functions on Finsler manifolds, Calc. Var. PDE 51 (2014), Issue 3-4, 849-865.

• Guofang Wang and Chao Xia, A sharp lower bound for the first eigenvalue in Finsler manifolds, Ann. Inst. H. Poincar\'e Anal. Non Lineaire 30 (2013) Issue 6, 983-996.

• Guofang Wang and Chao Xia, An optimal anisotropic Poincare inequality for convex domains, Pacific J. Math. 258 (2012) 305-326.

• Guofang Wang and Chao Xia, A characterization of the Wulff shape by an overdetermined anisotropic PDE, Arch. Ration. Mech. Anal. 99 (2011), 99-115.

HONORS/AWARDS

• 2016 Fujian Hundreds People Plan

• 2017 Xiamen Young Talents